Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709756 | Applied Mathematics Letters | 2008 | 5 Pages |
Abstract
Let ΩnΩn denote the set of all n×nn×n doubly stochastic matrices. Two unequal matrices AA and BB in ΩnΩn are called permanental mates if the permanent function is constant on the line segment tA+(1−t)B,0≤t≤1, connecting AA and BB. We study the perturbation matrix A+EA+E of a symmetric matrix AA in ΩnΩn as a permanental mate of AA. Also we show an example to disprove Hwang’s conjecture, which states that, for n≥4n≥4, any matrix in the interior of ΩnΩn has no permanental mate.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
S. Maria Arulraj, K. Somasundaram,